The present paper suggests that multivariate techniques are very important in social science research, and that canonical correlation analysis may be particularly useful. The logic of canonical analysis is explained and discussed. The necessity of using replicability/generalizability analyses is argued. It is suggested that cross-validation procedures should be used to examine the replicability of results obtained by canonical analyses and should be implemented to augment interpretation. These analyses are illustrated using a small heuristic data set. (An appendix gives the Statistical Package for the Social Sciences commands for canonical correlation.) Two tables are included. (Contains 21 references.) (Author)